This document contains data on the number of times per week that 60 people wash their hair. The data is presented in numerical lists and organized into classes with ranges of 2 for analysis. Various statistical measures are calculated from the data, including the mean, median, mode, and ranges of the classes. Frequency tables and graphs including a histogram and pie chart are displayed to illustrate the distribution of the data.

1. Cuantas veces a la semana se lava el cabello?
8 – 7 – 7 – 4 – 5 – 3 – 3 – 7 – 3 – 7 – 4 – 7 – 7 – 7 – 4 – 10 – 10 - 10 – 10 - 16 –
7 – 7 – 5 – 5 – 5 – 4 – 4 – 2 – 3 – 5 – 7 – 3 – 3 – 4 – 7 – 4 – 7 – 10 – 8 – 9 –
5 – 3 – 7 – 2 – 5 – 5 – 7 – 7 – 7 – 7 – 5 – 4 – 3 – 7 – 3 – 5 – 4 – 7 – 7 – 14
Ordenados
2–2–3–3–3–3–3–3–3–3–3–4–4–4–4–4–4–4–4–4
5–5–5–5–5–5–5–5–5–5–7–7–7–7–7–7–7–7–7–7
7 – 7 – 7 – 7 – 7 – 7 – 7 – 7 – 7 – 7 – 8 – 8 – 9 – 10 – 10 – 10 – 10 – 10 – 14 – 16
N = 60 K = √60 = 7,75 8 Nº de clases
Rango:
R = Max – Min = 16 – 2  14 Rango
C = R/K = 14/8 = 1,75  2 Amplitud de classe
R’ = K * C = 8 * 2 = 16 Nº de Rangos
R’ – R = 16 – 14 = 2 Frecuencia acumulada
Intervalo de clase Frecuencia simple Menor que Mayor que
inf – Lsup f MC C h p F H P F* H* P*
x1 [ 2 – 4 [ 11 3 2 0,183 18% 11 0,18 18% 60 1 100%
x2 [ 4 – 6 [ 19 5 2 0,32 32% 30 0,5 5% 49 0,82 82%
x3 [ 6 – 8 [ 20 7 2 0,33 33% 50 0,83 83% 30 0,5 5%
x4 [ 8 – 10 [ 3 9 2 0,05 5% 53 0,88 88% 10 0,17 17%
x5 [ 10 – 12 [ 5 11 2 0,08 8% 58 0,97 97% 7 0,12 12%
x6 [ 12 – 14 [ 0 13 2 0 0% 58 0,97 97% 2 0,03 3%
x7 [ 14 – 16 [ 2 15 2 0,03 3% 60 1 100% 2 0,03 3%
N 60 1 100%
Histograma
1 3 5 7 9 11 13 15

2. 60 60
50 50
40 40
30 30
20 20
10 10
0 0
2 4 6 8 10 12 14 16 2 4 6 8 10 12 14 16
TORTA
χ ϝ α = f/n * 100%
1 11 18,33
2 19 31,67
3 20 33,33
4 3 5
5 5 8,33
6 0 0
7 2 3,33
60
f MC f*x C F F(x-x)² F(x-x)³ F(x-x) 4
[2–4[ 11 3 33 2 11 11(3-6,33)² = 121,98 -406,19 1352,60
[4–6[ 19 5 95 2 30 19(5-6,33)² = 33,61 -44,70 59,45
[6–8[ 20 7 140 2 50 20(7-6,33)² = 8,98 6,01 4,03
[ 8 – 10 [ 3 9 27 2 3 3(9-6,33)² = 21,39 57,10 152,46
[ 10 – 12 [ 5 11 55 2 58 5(11-6,33)² = 109,04 509,24 2378,14
[ 12 – 14 [ 0 13 0 2 58 0(13-6,33)² = 0 0 0
[ 14 – 16 [ 2 15 30 2 60 2(15-6,33)² = 150,34 1303,43 11300,73
60 380 445,34 406,41 15247,41
Media aritmética
x=